MCQ
If $O$ is the ethnocentric of the $\triangle\text{ABC},$ then:
- A$\angle\text{BOC}-2\angle\text{BAC}$
- ✓$\angle\text{BOC}\text{ and} \angle\text{BAC}\text{ are supplementary}$
- C$\angle\text{BOC}-\angle\text{BAC}$
- D$\text{None of these}$
Suppose a circle is drawn passing through all the vertices of the triangle $ABC$ with centre at $O$ (orthocenter). thus the angle formed at the orhtocenter is the supplement of the angle at the vertex.
$\angle\text{BOC}+\angle\text{BAC}=180^\circ$
So, $\angle\text{BOC}$ and $\angle\text{BAC}$ are supplementary.
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